Details

Time bar (total: 26.2s)

sample317.0ms

Algorithm
intervals
Results
27.0ms198×body80valid
26.0ms6×body160valid
26.0ms34×body2560valid
19.0ms29×body1280valid
17.0ms91×body80nan
5.0ms8×body640valid
2.0ms7×body320valid
2.0ms2×body5120valid

simplify107.0ms

Counts
1 → 1
Iterations
IterNodes
629
529
427
325
222
114
010

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.2b
(- (* b_2 b_2) (* a c))
1.4b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
27.8b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
60.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
7.0ms
(- (* b_2 b_2) (* a c))
48.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
15.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
39.0ms
(- (* b_2 b_2) (* a c))
80.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
79.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.0s

Counts
100 → 100
Iterations
IterNodes
32917
2997
1376
0158

prune942.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
1.2b
(- (* b_2 b_2) (* a c))
1.4b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
27.8b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
123×add-sqr-sqrt
96×*-un-lft-identity
70×add-cube-cbrt
26×difference-of-squares
24×associate-/r*
16×sqrt-prod
15×add-exp-log
13×distribute-lft-out--
9×add-cbrt-cube associate-/r/
8×add-log-exp
7×flip3-- div-exp flip--
6×pow1
5×div-inv
4×insert-posit16
3×cbrt-undiv associate-/l*
2×rec-exp sub-neg sqrt-div diff-log 1-exp
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-flip inv-pow
Counts
4 → 166
Calls
4 calls:
67.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
7.0ms
(- (* b_2 b_2) (* a c))
47.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
49.0ms
(- (* b_2 b_2) (* a c))
101.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
100.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify5.5s

Counts
178 → 178
Iterations
IterNodes
36122
21731
1623
0262

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
1.2b
(- (* b_2 b_2) (* a c))
1.4b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
27.8b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
789×times-frac
493×add-sqr-sqrt
406×*-un-lft-identity
320×add-cube-cbrt
86×difference-of-squares
46×sqrt-prod
44×add-exp-log
43×distribute-lft-out--
40×div-inv
32×div-exp
29×associate-/r/
24×associate-/r*
17×flip3-- flip--
16×add-cbrt-cube
13×associate-/l*
8×cbrt-undiv rec-exp 1-exp add-log-exp
5×pow1
4×insert-posit16
2×sub-neg sqrt-div diff-log
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 427
Calls
4 calls:
80.0ms
(/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
7.0ms
(- (* b_2 b_2) (* a c))
37.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
37.0ms
(- (* b_2 b_2) (* a c))
102.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
95.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify6.8s

Counts
439 → 439
Iterations
IterNodes
23466
11733
0591

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.7b

localize52.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.4b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
27.8b
(sqrt (- (* b_2 b_2) (* a c)))
27.8b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×*-un-lft-identity
8×sqrt-prod add-log-exp
6×pow1 add-cube-cbrt
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
32.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
49.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
79.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
77.0ms
(sqrt (- (* b_2 b_2) (* a c)))
74.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
43591
31497
2533
1183
080

prune746.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 7.7b

regimes341.0ms

Accuracy

82.3% (4.9b remaining)

Error of 10.6b against oracle of 5.6b and baseline of 33.5b

bsearch207.0ms

Steps
ItersRangePoint
8
2.764110880089542e-64
2.3245141193625934e-60
2.0617732603635578e-61
9
-229886301330938.94
-710549284.1101115
-227369802444031.66

simplify9.0ms

Iterations
IterNodes
231
131
027

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s5887×body80valid
1.2s1057×body2560valid
471.0ms908×body1280valid
277.0ms2988×body80nan
218.0ms444×body640valid
116.0ms111×body5120valid
72.0ms231×body320valid
23.0ms113×body160valid